Question

Which expression is equivalent to ?

Answer 1

Your answer would be A

Explanation:

First you gotta reduce that fraction. Then square root the 9 (which is 3) and as well as radicalize x^5, which is x^2/x

Answer 2

FIRST OPTION.

Explanation:

Given the expression
`\sqrt{(2x^5)/(18)}`, you can find an equivalent expression simplifying.

The first step is to descompose 18 into its prime factors:

`18=2*3*3=2*3^2`

Remember the Product of powers property, which states that:

`(a^m)(a^n)=a^((m+n))`

Then you can rewrite the expression in this form:

`\sqrt{(2x^4x)/(2*3^2)`

Knowing that
`\sqrt[n]{a^n}=a`, you get the following equivalent expression:

`\sqrt{(2x^4x)/(2*3^2)`

`(x^2)/(3)\sqrt{(2x)/(2)}`

`(x^2√(x))/(3)`